Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the following:


6+7×8

10^(2)-16÷8

(25+11)×2

3+6×(5+4)÷3-7

56-2(20+12÷4×3-2×2)+10

6+[(16-4)÷(2^(2)+2)]-2

(96÷12)+14 ×(12+8)÷2

(93+15)÷(3×4)-24+8

55÷11+(18-6)×9

[11-20÷(5^(2)-13)÷3+8]×2

Evaluate the following:\newline11) 6+7×8 6+7 \times 8 \newline22) 10216÷8 10^{2}-16 \div 8 \newline33) (25+11)×2 (25+11) \times 2 \newline44) 3+6×(5+4)÷37 3+6 \times(5+4) \div 3-7 \newline55) 562(20+12÷4×32×2)+10 56-2(20+12 \div 4 \times 3-2 \times 2)+10 \newline66) 6+[(164)÷(22+2)]2 6+\left[(16-4) \div\left(2^{2}+2\right)\right]-2 \newline77) (96÷12)+14×(12+8)÷2 (96 \div 12)+14 \times(12+8) \div 2 \newline88) (93+15)÷(3×4)24+8 (93+15) \div(3 \times 4)-24+8 \newline99) 55÷11+(186)×9 55 \div 11+(18-6) \times 9 \newline1010) [1120÷(5213)÷3+8]×2 \left[11-20 \div\left(5^{2}-13\right) \div 3+8\right] \times 2

Full solution

Q. Evaluate the following:\newline11) 6+7×8 6+7 \times 8 \newline22) 10216÷8 10^{2}-16 \div 8 \newline33) (25+11)×2 (25+11) \times 2 \newline44) 3+6×(5+4)÷37 3+6 \times(5+4) \div 3-7 \newline55) 562(20+12÷4×32×2)+10 56-2(20+12 \div 4 \times 3-2 \times 2)+10 \newline66) 6+[(164)÷(22+2)]2 6+\left[(16-4) \div\left(2^{2}+2\right)\right]-2 \newline77) (96÷12)+14×(12+8)÷2 (96 \div 12)+14 \times(12+8) \div 2 \newline88) (93+15)÷(3×4)24+8 (93+15) \div(3 \times 4)-24+8 \newline99) 55÷11+(186)×9 55 \div 11+(18-6) \times 9 \newline1010) [1120÷(5213)÷3+8]×2 \left[11-20 \div\left(5^{2}-13\right) \div 3+8\right] \times 2
  1. Order of Operations: First, solve 6+7×86+7\times8 using the order of operations (PEMDAS/BODMAS).\newline7×8=567\times8=56, then add 66.\newline6+56=626+56=62
  2. Exponential Calculation: Next, calculate 10216÷810^{2}-16\div8. 102=10010^{2}=100, then divide 1616 by 88. 1002=98100-2=98
  3. Multiplication and Addition: Now, evaluate (25+11)×2(25+11)\times 2.25+11=3625+11=36, then multiply by 22.36×2=7236\times 2=72
  4. Complex Arithmetic: Solve 3+6×(5+4)÷373+6\times(5+4)\div3-7.\newlineFirst, inside the parentheses: 5+4=95+4=9.\newlineNext, multiply by 66: 6×9=546\times9=54.\newlineThen, divide by 33: 54÷3=1854\div3=18.\newlineFinally, add 33, subtract 77: 3+187=143+18-7=14
  5. Parentheses and Operations: For 562(20+12÷4×32×2)+1056-2(20+12\div4\times3-2\times2)+10, start with the parentheses.\newlineInside: 12÷4=312\div4=3, then 3×3=93\times3=9.\newlineNext: 20+9=2920+9=29, then 2×2=42\times2=4.\newlineSubtract: 294=2529-4=25.\newlineNow, multiply by 22: 2×25=502\times25=50.\newlineSubtract from 5656 and add 1010: 12÷4=312\div4=300
  6. Bracketed Calculation: Evaluate 6+[(164)÷(22+2)]26+[(16-4)\div(2^{2}+2)]-2.\newlineInside the brackets: 164=1216-4=12.\newlineNext, 22=42^{2}=4, then add 22: 4+2=64+2=6.\newlineDivide: 12÷6=212\div6=2.\newlineFinally, add to 66 and subtract 22: 6+22=66+2-2=6
  7. Division and Multiplication: Calculate (96÷12)+14×(12+8)÷2(96\div12)+14\times(12+8)\div2.\newlineFirst, divide 9696 by 1212: 96÷12=896\div12=8.\newlineNext, add inside the parentheses: 12+8=2012+8=20.\newlineMultiply by 1414: 14×20=28014\times20=280.\newlineThen, divide by 22: 280÷2=140280\div2=140.\newlineFinally, add 88: 969600
  8. Addition and Subtraction: Solve (93+15)÷(3×4)24+8(93+15)\div(3\times4)-24+8.\newlineFirst, add inside the parentheses: 93+15=10893+15=108.\newlineNext, multiply 33 by 44: 3×4=123\times4=12.\newlineDivide: 108÷12=9108\div12=9.\newlineFinally, subtract 2424 and add 88: 924+8=79-24+8=-7
  9. Division and Multiplication: For 55÷11+(186)×955\div11+(18-6)\times9, start with division.\newline55÷11=555\div11=5.\newlineNext, subtract inside the parentheses: 186=1218-6=12.\newlineMultiply by 99: 12×9=10812\times9=108.\newlineFinally, add 55: 5+108=1135+108=113
  10. Bracketed Calculation: Lastly, evaluate [11-20\div(5^{2}-13)\div3+8]\times2").\(\newlineInside the parentheses: \$5^{2}=25\), then subtract \(13\): \(25-13=12").\(\newline\)Divide 20 by 12: \$20\div12=1.666...\) (approx. \(\(1\).\(67\)")).\(\newline\)Subtract from \(11\): \(\(11\)\(-1\).\(67\)=\(9\).\(33\)").\(\newline\)Add \(8\): \(\(9\).\(33\)+\(8\)=\(17\).\(33\)").\(\newline\)Finally, multiply by \(2\): \(\(17\).\(33\)\times\(2\)=\(34\).\(66\)")